Critical Concentration for Micelle Formation and its Aggregation Number in Aqueous Solutions of Paraffin Chain Salts

Abstract The cylindrical double layer model for the micelle was adopted and the aggregation number was calculated by the condition that ∂2En⁄∂2n2=0, and by using the aggregation number given by the above condition, an equation for the critical micelle concentration was derived. This equation shows that the critical micelle concentrations depend on the number of carbon atoms in the hydrocarbon chains and not on the kind of gegen-ions of the same valency. Moreover, the effect of added salts, polar oil and nonpolar oil on the aggregation number and on the critical micelle concentration in aqueous solution of paraffin chain salts was discussed qualitatively.